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Good
Morning
Biomechanics and force system
of butterfly arch: A device for three-
dimensional controlling of upper molars
Alireza Nikkerdar
Private Practitioner, Tehran, Iran
Presented by
Dr Sankha Nilay Das
PG 1st Year
Contents
Introduction
Background
Biomechanical principles
Clinical indications of butterfly arch
Discussion
Conclusion
INTRODUCTION
First introduced by Robert A. Goshgarian in
1972. After that, Burstone and Koenig in 1981
have considered many of the biomechanical
aspects of activating the transpalatal arch.
TPA
Transpalatal arch (TPA) or palatal bar (PB) is a
device that has been used for many years in
different clinical situations either with fixed or
removable types; the appliance is usually
made of a stiff stainless steel wire with an
omega loop in center
Uses of the TPA
1) Correction of Molar Rotation:-
Evaluation of molar position
Evaluation of molar position
2)Stabilization and Anchorage
Once the position of molars has been
corrected,the TPA serves as a stabilizing
appliance by connecting the two first
molars with the palatal wire. An
anchorage unit is formed that resists the
mesial movement of the molars.
Its quite useful when elastomeric
chain is used on a continuous arch wire.
3)Molar Distalization
4)Additional Molar Movements
Lingual root torque
Buccal root torque
Expansion
Contraction
Prevents molar extrusion
Encourage molar intrusion
Molar Intrusion
Activation of TPA
Evaluation of TPA activation
Initial activation
1)Rotational/Anteroposterior Adjustment or activation
2)Vertical/Transverse Adjustment or activation
Sequence of Activation
Subsequent Activation
The TPA resists the tendency of the
molars to rotate in a mesial direction
around the lingual roots.
however, this idea has not been confirmed by
new articles.
Zablocki et al. pointed out that the PB
neither preserves the anchorage nor the
vertical dimension during orthodontic
treatment.
Kojima and Fukui evaluated the
stress level in periodontal
ligament (PDL) in the presence
and absence of PB; they
observed no difference between
the control group and the group
with PB during space closure
stage.
Why???
The reason is quite simple.
The failure of upper lingual
appliances to preserve the
anchorage is because of the
inability to resist against
the forces that apply
perpendicular to its long
axis.
Anchorage loss
In a maximum anchorage situation,
anchorage loss happens, more or less due
to the creation of a reactive force as a
result of anterior teeth retraction during
space closure.
This appears in two distinct forms…
(1) in first order because of mesial-in rotation of
posterior teeth, especially first molars when the
reactive forces apply from buccal surface
related to the centers of resistance; therefore,
widest part of teeth encroaches the extraction
space
(2) In second order, as the consequence
of tip-forward moment that exerts on
posterior anchorage units, these teeth
encounter “dumping effect” that leads to
more anchorage loss.
Solution…
a rigid framework with high resistance against
distortion and is introduced here as an
appliance that could preserve the posterior
anchorage with simultaneous controlling of
vertical and transverse dimensions
Butterfly arch
0.036″/20 gauge
stainless steel wire
Molar bands
Rigid Framework with its unique design
Fabrication
Biomechanical principles
The biomechanics of butterfly arch are based
on five principles regarding its unique design:
1. The principle of using tensile strength.
2. The principle of using tongue function.
3. The principle of creating reactive forces.
4. The principle of three-dimensional (3D)
interactions.
5. The principle of using short segments.
1)The principle of using tensile strength
when a mesially directed force exerts on
one end of a PB, the resultant of intrinsic
forces is equal to 0, meaning there is no
axial loading. Therefore, connecting left
and right sides of the dental arch in
molar area do nothing with anchorage
reinforcement at all.
In butterfly arch, when a force that tends to
displace the teeth of anchorage units applies,
tension rises in all cross sections of the
connecting oblique wire known as “bracing
unit”. This would create an additional
component to counteract mesially directed
force.
Force system of a butterfly arch when a mesially directed force (F)
applies on the left side of the picture dealing with resistance
forces (R) of posterior teeth and bracing element (red segment).
This would create an additional component to counteract
mesially directed force.
2)Principle of using tongue function
A wide pentagonal area, which is called here as
“tongue trapping area” (often with acrylic
coverage), could trap and direct the tongue
pressure during functions (swallowing, speech,
and chewing). the wider part of tongue trapping
area is located behind the center of resistance,
and therefore, perpendicular tongue pressure
against palate creates a high level of force on that
area which tends to tip the crowns of upper first
and second molars distally
Tip-back moment created by tongue function on tongue
trapping area regarding center of resistance of the appliance.
3)The principle of 3D interactions
• Interaction of vertical and horizontal dimensions
shows the effect of a force on an
object that is displaced by a drag
force (F) in a distinguished direction
(D) with a constant velocity if we
eliminate the role of friction.
D
A condition when a
perpendicular force (Fv)
applies on the moving
object. If we need to
maintain the original
velocity, we have to
increase the drag force to
the extent that overcomes
the additional vertically
directed force.
The same story is true for the
butterfly arch when the tongue
presses the tongue trapping area
against palate during function.
This vertical component of tongue
force could affect the
inappropriate reactive mesially
directed force of anterior
retraction and therefore could
enhance anchorage in
anteroposterior plane.
Interaction of transverse and
horizontal dimensions
The rigidity of butterfly arch is
considerably high. It is made of stiff
stainless steel wire, and soldered
joints create short segments that
increase total rigidity of the
framework of the appliance
markedly.
If this rigid apparatus encounters
anchorage loss, the diameters have
to be shortened inevitably and
“butterfly wing effect” occurs.
Butterfly wing effect.
This effect happens when a butterfly closes its wings and
results in diminution in width. The high rigidity of the arch
withstands this phenomenon because a huge force is needed
to distort the multiplication sign-like framework.
4)The principle of creating reactive forces
Regarding causative factors of anchorage loss,
there are some components to neutralize
mesial-in rotation and mesial tipping of the
first- and second orders, respectively,
so establishing a mechanism for applying
reactive forces in the form of mesial-out and
tip-back moments is essential for anchorage
control.
# Mesial-out moment is created by 1-mm preactivation (0.5 mm
each side) with opening of omega loop before placing of the
appliance . This expands the inter-molar width slightly and usually
remains until removing the butterfly arch in finishing stage.
# The tip-back moment is created by tongue pressure against the
tongue trapping area.
5)The principle of using short segments
The essence of accurate
application of butterfly arch is
high rigidity for either
preservation of transverse
dimension or stabilization of the
system and prevention of
distortion.
To preclude long lever arms and huge bending moments at soldering
areas due to tongue function during mastication, we must avoid long
segments as far as possible. Therefore, soldering points all over the
framework are made to increase the total rigidity of the appliance
effectively.
Clinical indications of butterfly arch
1. Maximum anchorage cases with/without vertical
discrepancy
2. Open bite correction
3. To treat children with vertical maxillary excess
instead of long-term headgear therapy
4. Full-cusp class II patients undergoing orthodontic
camouflage in which maximum anchorage is
required.
5. Full-cusp class II subdivision cases.
Modifications
A modification of butterfly
arch for excellent maintaining
of transverse dimension.
A modification of butterfly
arch in impacted teeth
condition.
Discussion
Some conventional appliances that are used for
anchorage reinforcement are as follows: headgear,
TPA, Nance appliance, intra-osseous plates, and
screws.
TPA and Nance appliance are good for tooth
movement and rotation control, but because of
biomechanical weaknesses, as mentioned earlier,
anchorage preservation is compromised.
Although butterfly arch possesses
numerous distinct advantages, however,
if anchorage value and PDL stress distribution
of the teeth of reactive unit are the same,
and if an equal activation of right and left
closing loops is performed, the result might be
a mesial movement of whole system as the
effect of a huge reactive force of anchorage
loss without any intervention of bracing units
of butterfly arch. This is usually rare.
Conclusion
Mechanical principles were described before, and
they are new and unique and could be used for
3D preservation of upper anchorage teeth
effectively. Expressions such as bracing systems
and units, tongue trapping area, and butterfly
wing effect are special mechanical characteristics
of butterfly arch, and all of them are involved in
3D controlling of posterior anchorage units. The
appliance has different shapes and configurations
in various clinical situations.
Review Article
Three-Dimensional Control
on Lingually Rolled in Molars
using a 3D Lingual Arch
Sunil Sunny, Denny p Joseph, Neethu Mathew, Roshini Sara Rajan, Eldo
Kurian
Journal of Clinical and Diagnostic Research. 2017 Aug, Vol-11(8)
The fixed lingual arches that are used for
mandibular molar uprighting works in two
dimensions, whereas the 3D lingual arch
works in all the three dimensions. The 3D
lingual arch was fabricated from a
0.028”round S.S wire with parts consisting of
an adaptor, activator, friction lock and
extender. The friction lock was inserted into
the vertical stubs welded on the molar bands
of the lingually tipped molar. They provided
greater stability and anchorage to the molars.
Case Series
A 12-year-old female patient: a) with end on molar
relation on right side; b) lingually tipped mandibular
first molars bilaterally; c,d) posterior scissor bite on
left side and deep bite.
Insertion of the 3D Lingual
arch immediately after the
extraction of the second
premolars.
Holding arch with anterior
bite plane in the upper
arch.
One month later: a) occlusal picture shows the
correction of lingually tipped molars; (b) left lateral
view showing the correction of scissor bite on left
side.
a) Lower arch was bonded along with the 3D lingual
arch; b) removed the 3D lingual arch after the
correction of molar uprighting.
Effects of transpalatal arch on molar
movement produced by mesial force:
A finite element simulation
Yukio Kojimaa and Hisao Fukuib
Nagoya, Japan
They concluded that TPA had no effect
on the initial movement. In the orthodontic
movement, the TPA had almost no effect,
preserving anchorage for mesial movement.
However, the TPA prevented rotational and
transverse movements of the anchor teeth.
Thank
You

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Butterfly arch a device for precise controlling of the upper

  • 2. Biomechanics and force system of butterfly arch: A device for three- dimensional controlling of upper molars Alireza Nikkerdar Private Practitioner, Tehran, Iran Presented by Dr Sankha Nilay Das PG 1st Year
  • 4. INTRODUCTION First introduced by Robert A. Goshgarian in 1972. After that, Burstone and Koenig in 1981 have considered many of the biomechanical aspects of activating the transpalatal arch.
  • 5. TPA Transpalatal arch (TPA) or palatal bar (PB) is a device that has been used for many years in different clinical situations either with fixed or removable types; the appliance is usually made of a stiff stainless steel wire with an omega loop in center
  • 6.
  • 7. Uses of the TPA 1) Correction of Molar Rotation:-
  • 10. 2)Stabilization and Anchorage Once the position of molars has been corrected,the TPA serves as a stabilizing appliance by connecting the two first molars with the palatal wire. An anchorage unit is formed that resists the mesial movement of the molars. Its quite useful when elastomeric chain is used on a continuous arch wire.
  • 12.
  • 13. 4)Additional Molar Movements Lingual root torque Buccal root torque Expansion Contraction Prevents molar extrusion Encourage molar intrusion
  • 15. Activation of TPA Evaluation of TPA activation
  • 20. The TPA resists the tendency of the molars to rotate in a mesial direction around the lingual roots. however, this idea has not been confirmed by new articles. Zablocki et al. pointed out that the PB neither preserves the anchorage nor the vertical dimension during orthodontic treatment.
  • 21. Kojima and Fukui evaluated the stress level in periodontal ligament (PDL) in the presence and absence of PB; they observed no difference between the control group and the group with PB during space closure stage.
  • 22. Why??? The reason is quite simple. The failure of upper lingual appliances to preserve the anchorage is because of the inability to resist against the forces that apply perpendicular to its long axis.
  • 23. Anchorage loss In a maximum anchorage situation, anchorage loss happens, more or less due to the creation of a reactive force as a result of anterior teeth retraction during space closure.
  • 24. This appears in two distinct forms… (1) in first order because of mesial-in rotation of posterior teeth, especially first molars when the reactive forces apply from buccal surface related to the centers of resistance; therefore, widest part of teeth encroaches the extraction space
  • 25. (2) In second order, as the consequence of tip-forward moment that exerts on posterior anchorage units, these teeth encounter “dumping effect” that leads to more anchorage loss.
  • 26. Solution… a rigid framework with high resistance against distortion and is introduced here as an appliance that could preserve the posterior anchorage with simultaneous controlling of vertical and transverse dimensions
  • 27. Butterfly arch 0.036″/20 gauge stainless steel wire Molar bands Rigid Framework with its unique design
  • 29.
  • 30. Biomechanical principles The biomechanics of butterfly arch are based on five principles regarding its unique design: 1. The principle of using tensile strength. 2. The principle of using tongue function. 3. The principle of creating reactive forces. 4. The principle of three-dimensional (3D) interactions. 5. The principle of using short segments.
  • 31. 1)The principle of using tensile strength when a mesially directed force exerts on one end of a PB, the resultant of intrinsic forces is equal to 0, meaning there is no axial loading. Therefore, connecting left and right sides of the dental arch in molar area do nothing with anchorage reinforcement at all.
  • 32. In butterfly arch, when a force that tends to displace the teeth of anchorage units applies, tension rises in all cross sections of the connecting oblique wire known as “bracing unit”. This would create an additional component to counteract mesially directed force.
  • 33. Force system of a butterfly arch when a mesially directed force (F) applies on the left side of the picture dealing with resistance forces (R) of posterior teeth and bracing element (red segment). This would create an additional component to counteract mesially directed force.
  • 34. 2)Principle of using tongue function A wide pentagonal area, which is called here as “tongue trapping area” (often with acrylic coverage), could trap and direct the tongue pressure during functions (swallowing, speech, and chewing). the wider part of tongue trapping area is located behind the center of resistance, and therefore, perpendicular tongue pressure against palate creates a high level of force on that area which tends to tip the crowns of upper first and second molars distally
  • 35. Tip-back moment created by tongue function on tongue trapping area regarding center of resistance of the appliance.
  • 36. 3)The principle of 3D interactions • Interaction of vertical and horizontal dimensions shows the effect of a force on an object that is displaced by a drag force (F) in a distinguished direction (D) with a constant velocity if we eliminate the role of friction. D
  • 37. A condition when a perpendicular force (Fv) applies on the moving object. If we need to maintain the original velocity, we have to increase the drag force to the extent that overcomes the additional vertically directed force.
  • 38. The same story is true for the butterfly arch when the tongue presses the tongue trapping area against palate during function. This vertical component of tongue force could affect the inappropriate reactive mesially directed force of anterior retraction and therefore could enhance anchorage in anteroposterior plane.
  • 39. Interaction of transverse and horizontal dimensions The rigidity of butterfly arch is considerably high. It is made of stiff stainless steel wire, and soldered joints create short segments that increase total rigidity of the framework of the appliance markedly. If this rigid apparatus encounters anchorage loss, the diameters have to be shortened inevitably and “butterfly wing effect” occurs.
  • 40. Butterfly wing effect. This effect happens when a butterfly closes its wings and results in diminution in width. The high rigidity of the arch withstands this phenomenon because a huge force is needed to distort the multiplication sign-like framework.
  • 41. 4)The principle of creating reactive forces Regarding causative factors of anchorage loss, there are some components to neutralize mesial-in rotation and mesial tipping of the first- and second orders, respectively, so establishing a mechanism for applying reactive forces in the form of mesial-out and tip-back moments is essential for anchorage control.
  • 42. # Mesial-out moment is created by 1-mm preactivation (0.5 mm each side) with opening of omega loop before placing of the appliance . This expands the inter-molar width slightly and usually remains until removing the butterfly arch in finishing stage. # The tip-back moment is created by tongue pressure against the tongue trapping area.
  • 43. 5)The principle of using short segments The essence of accurate application of butterfly arch is high rigidity for either preservation of transverse dimension or stabilization of the system and prevention of distortion. To preclude long lever arms and huge bending moments at soldering areas due to tongue function during mastication, we must avoid long segments as far as possible. Therefore, soldering points all over the framework are made to increase the total rigidity of the appliance effectively.
  • 44. Clinical indications of butterfly arch 1. Maximum anchorage cases with/without vertical discrepancy 2. Open bite correction 3. To treat children with vertical maxillary excess instead of long-term headgear therapy 4. Full-cusp class II patients undergoing orthodontic camouflage in which maximum anchorage is required. 5. Full-cusp class II subdivision cases.
  • 45. Modifications A modification of butterfly arch for excellent maintaining of transverse dimension. A modification of butterfly arch in impacted teeth condition.
  • 46. Discussion Some conventional appliances that are used for anchorage reinforcement are as follows: headgear, TPA, Nance appliance, intra-osseous plates, and screws. TPA and Nance appliance are good for tooth movement and rotation control, but because of biomechanical weaknesses, as mentioned earlier, anchorage preservation is compromised.
  • 47. Although butterfly arch possesses numerous distinct advantages, however, if anchorage value and PDL stress distribution of the teeth of reactive unit are the same, and if an equal activation of right and left closing loops is performed, the result might be a mesial movement of whole system as the effect of a huge reactive force of anchorage loss without any intervention of bracing units of butterfly arch. This is usually rare.
  • 48. Conclusion Mechanical principles were described before, and they are new and unique and could be used for 3D preservation of upper anchorage teeth effectively. Expressions such as bracing systems and units, tongue trapping area, and butterfly wing effect are special mechanical characteristics of butterfly arch, and all of them are involved in 3D controlling of posterior anchorage units. The appliance has different shapes and configurations in various clinical situations.
  • 50. Three-Dimensional Control on Lingually Rolled in Molars using a 3D Lingual Arch Sunil Sunny, Denny p Joseph, Neethu Mathew, Roshini Sara Rajan, Eldo Kurian Journal of Clinical and Diagnostic Research. 2017 Aug, Vol-11(8)
  • 51. The fixed lingual arches that are used for mandibular molar uprighting works in two dimensions, whereas the 3D lingual arch works in all the three dimensions. The 3D lingual arch was fabricated from a 0.028”round S.S wire with parts consisting of an adaptor, activator, friction lock and extender. The friction lock was inserted into the vertical stubs welded on the molar bands of the lingually tipped molar. They provided greater stability and anchorage to the molars.
  • 53. A 12-year-old female patient: a) with end on molar relation on right side; b) lingually tipped mandibular first molars bilaterally; c,d) posterior scissor bite on left side and deep bite.
  • 54. Insertion of the 3D Lingual arch immediately after the extraction of the second premolars. Holding arch with anterior bite plane in the upper arch.
  • 55. One month later: a) occlusal picture shows the correction of lingually tipped molars; (b) left lateral view showing the correction of scissor bite on left side.
  • 56. a) Lower arch was bonded along with the 3D lingual arch; b) removed the 3D lingual arch after the correction of molar uprighting.
  • 57. Effects of transpalatal arch on molar movement produced by mesial force: A finite element simulation Yukio Kojimaa and Hisao Fukuib Nagoya, Japan
  • 58. They concluded that TPA had no effect on the initial movement. In the orthodontic movement, the TPA had almost no effect, preserving anchorage for mesial movement. However, the TPA prevented rotational and transverse movements of the anchor teeth.